23. Consider the following hypothesis test:Ho: H12H:p> 12A sample of 25 provided a sample mean x= 14 and a sample standard deviations=4.32.a. Compute the value of the test statistic.b. Use the t distribution table (Table 2 in Appendix B) to compute a range for thep-value.c. At a = .05, what is your conclusion?d. What is the rejection rule using the critical value? What is your conclusion?

Given information Hypothesized mean = 12 Sample Standard deviation = 4.32 Sample mean = 14 Sample…

Answered: 23. Consider the following hypothesis…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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15. In a test of hypothesis about a mean, the critical value for a = 0.05 in a two-tailed test is 1.96. The resulting test statistic value from the sample data is -2.75. Which is the correct decision to make based on the given information? A. Reject the null hypothesis B. Change the alternative hypothesis O C. Fail to reject the null hypothesis D. Redefine the hypothesis
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=67.6Ho:μ=67.6 Ha:μ<67.6Ha:μ<67.6You believe the population is normally distributed. You obtain a sample mean of 64.2 and a sample standard deviation of 10.4 for a sample of size 34.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? A. Ho: M₁ = ₂ H₁: H₁ H₂ C. Ho: M₁ = H2 H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) B. Ho: H₁ H₂ H₁ H₁
Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.01 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels. OA. Ho: H₁1 H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic is 0.20. (Round to two decimal places as needed.) The P-value is 0.423. (Round to three decimal places as needed.) State the conclusion for the…
10. For which of the following cases would you use a t-test statistic? A. Where the population distribution is not normal, the population variance is not known and the sample size is below 25. B. Where the population distribution is not normal but the population variance is known. C. Where the population distribution is normal, the population variance is not known and the sample size is below 25. D. Where the population distribution is normal, the population variance is known and the sample size is 25 or more.
Suppose that you're running the following hypothesis test with a = 0.05 : H,:u= 2.00 H:u#2.00 a. If the population standard deviation is assumed to be 1.5, and a SRS of 25 observations yielded X = 2.57, then calculate the value of the test statistic that you would use to run this test. b. Determine the P-Value for the test statistic in part (a). c. Using the P-Value you calculated in part (b) state the Decision that you make about the null hypothesis. JUSTIFY YOUR DECISION.

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